575366400 has 324 divisors, whose sum is σ = 2352578592. Its totient is φ = 131420160.

The previous prime is 575366387. The next prime is 575366423. The reversal of 575366400 is 4663575.

575366400 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402487 + ... + 403913.

Almost surely, 2^575366400 is an apocalyptic number.

575366400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176289296).

575366400 is an abundant number, since it is smaller than the sum of its proper divisors (1777212192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

575366400 is a wasteful number, since it uses less digits than its factorization.

575366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 575366400 is about 23986.7963680021. The cubic root of 575366400 is about 831.7283383294.

It can be divided in two parts, 57536 and 6400, that added together give a palindrome (63936).

The spelling of 575366400 in words is "five hundred seventy-five million, three hundred sixty-six thousand, four hundred".